Regression Analysis 
Lesson 1 
Problem: A factory is producing and
stockpiling metal sheets to be shipped to an automobile manufacturing plant.
The factory ships only when there is a minimum
of 1000 sheets in stock at the beginning of that day. The table shows the day,
x, and the number of sheets
in stock, f (x), at the beginning of that day.
Day 
1 
2 
3 
4 
5 
6 
Sheets in stock 
350 
456 
555 
689 
777 
865 
Write
a linear regression equation and use this equation to determine the day the
sheets will be shipped.
Solution The linear regression equation
is: y=104.914 x + 248.13
Step 1:
Solution To calculate the days the sheets will
be shipped:
Step 2: Substitute the value
of x in the linear regression equation and calculate the value of y. The value
of x for which y becomes equivalent to 1135.
Solution
y=104.914 x + 248.13
Step 3: Put x=7.165
Then
y= (104.914*7.165) + 248.13
Solution Answer: 7.165
Step 4:
Complete
Try two practice problems:
Solve the following:
The
table shows the amount of Salt Dissolved in the water and that is given to
the School Students in every 6 hours following a dose of 10 ml. It seems that
the rate of decrease of the drug is approximately proportional to the amount
remaining. 



A. 
Use
this information to find a suitable function to model this data. 

B. 
Using
your model, when will there be less than 1 ml. of the Salted water given to
the Students? 